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Finding the Fourth Proportional to 9,630.20, 14,423.70 and 7,902.20

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Solution

The fourth proportional to 9,630.20, 14,423.70 and 7,902.20 is: 11,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.20 : 14,423.70 = 7,902.20 : x
  2. Step 2: Convert to fraction form
    9,630.20/14,423.70 = 7,902.20/x
  3. Step 3: Cross multiply
    9,630.20x = 14,423.70 × 7,902.20
  4. Step 4: Simplify right side
    9,630.20x = 113,978,962.14
  5. Step 5: Solve for x
    x = 113,978,962.14/9,630.20
  6. Step 6: Final answer
    x = 11,835.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.